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Lamb’s plane problem in a thermoelastic micropolar medium with stretch. (English) Zbl 0609.73007
A study is made of the Lamb plane problem in a thermoelastic micropolar medium with the effect of stretch. The problem is solved for an arbitrary, normal load distribution by using the double Fourier transform. The displacement components, force stress, couple stress, vector first moment and the temperature field are determined for a half space subjected to an arbitrary normal load. Two special cases of a horizontal force and a torque which are oscillating with a frequency \(\omega\) have been investigated. It is shown that results of this analysis reduce to those without stretch.

MSC:
74F05 Thermal effects in solid mechanics
74A35 Polar materials
74H45 Vibrations in dynamical problems in solid mechanics
35A22 Transform methods (e.g., integral transforms) applied to PDEs
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